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Finding the Third Proportional to 194,013 and 291,739.50

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Solution

The third proportional to 194,013 and 291,739.50 is: 438,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,013 : 291,739.50 = 291,739.50 : x
  2. Step 2: Convert to fraction form
    194,013/291,739.50 = 291,739.50/x
  3. Step 3: Cross multiply
    194,013x = 291,739.50 × 291,739.50
  4. Step 4: Simplify right side
    194,013x = 85,111,935,860.25
  5. Step 5: Solve for x
    x = 85,111,935,860.25/194,013
  6. Step 6: Final answer
    x = 438,691.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.